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274052000 = 2553131523
BaseRepresentation
bin10000010101011…
…011001110100000
3201002200021200002
4100111123032200
51030124131000
643105515132
76535255265
oct2025331640
9632607602
10274052000
11130771362
1277942aa8
1344a14261
142857b26c
15190d58d5
hex1055b3a0

274052000 has 96 divisors (see below), whose sum is σ = 679783104. Its totient is φ = 108576000.

The previous prime is 274051963. The next prime is 274052003. The reversal of 274052000 is 250472.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (274052003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523739 + ... + 524261.

It is an arithmetic number, because the mean of its divisors is an integer number (7081074).

Almost surely, 2274052000 is an apocalyptic number.

274052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339891552).

274052000 is an abundant number, since it is smaller than the sum of its proper divisors (405731104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

274052000 is a wasteful number, since it uses less digits than its factorization.

274052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 274052000 is about 16554.5160001735. The cubic root of 274052000 is about 649.5476142165.

The spelling of 274052000 in words is "two hundred seventy-four million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 131 160 200 250 262 400 500 523 524 655 800 1000 1046 1048 1310 2000 2092 2096 2615 2620 3275 4000 4184 4192 5230 5240 6550 8368 10460 10480 13075 13100 16375 16736 20920 20960 26150 26200 32750 41840 52300 52400 65375 65500 68513 83680 104600 104800 130750 131000 137026 209200 261500 262000 274052 342565 418400 523000 524000 548104 685130 1046000 1096208 1370260 1712825 2092000 2192416 2740520 3425650 5481040 6851300 8564125 10962080 13702600 17128250 27405200 34256500 54810400 68513000 137026000 274052000